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Finding the Third Proportional to 40,118 and 56,535

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Solution

The third proportional to 40,118 and 56,535 is: 79,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,118 : 56,535 = 56,535 : x
  2. Step 2: Convert to fraction form
    40,118/56,535 = 56,535/x
  3. Step 3: Cross multiply
    40,118x = 56,535 × 56,535
  4. Step 4: Simplify right side
    40,118x = 3,196,206,225
  5. Step 5: Solve for x
    x = 3,196,206,225/40,118
  6. Step 6: Final answer
    x = 79,670.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.